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Simplifying 4(x + 5) + -2(x + 6) = 8 Reorder the terms: 4(5 + x) + -2(x + 6) = 8 (5 * 4 + x * 4) + -2(x + 6) = 8 (20 + 4x) + -2(x + 6) = 8 Reorder the terms: 20 + 4x + -2(6 + x) = 8 20 + 4x + (6 * -2 + x * -2) = 8 20 + 4x + (-12 + -2x) = 8 Reorder the terms: 20 + -12 + 4x + -2x = 8 Combine like terms: 20 + -12 = 8 8 + 4x + -2x = 8 Combine like terms: 4x + -2x = 2x 8 + 2x = 8 Add '-8' to each side of the equation. 8 + -8 + 2x = 8 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 8 + -8 2x = 8 + -8 Combine like terms: 8 + -8 = 0 2x = 0 Solving 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '2'. x = 0 Simplifying x = 0
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